arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1402.4069cs.CV
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圆环理论在数字图像分割中的应用

Application of the Ring Theory in the Segmentation of Digital Images

Institute of Cybernetics, Mathematics and Physics(控制论、数学与物理研究所)

Yasel Garcés, Esley Torres, Osvaldo Pereira, Roberto Rodríguez

摘要:

环论是抽象代数的一个分支,在图像中有着广泛的应用。然而,环理论与图像分割的关系并不密切。在本文中,我们提出了一个新的索引之间的相似性图像使用Zn环和熵函数。这个新的指数作为一个新的停止标准的Mean Shift迭代算法的目标,以达到更好的分割。分析了采用这种新的停止准则的算法的性能。所获得的结果证明,新的指数是一个合适的工具来比较图像。

英文摘要:

Ring theory is one of the branches of the abstract algebra that has been broadly used in images. However, ring theory has not been very related with image segmentation. In this paper, we propose a new index of similarity among images using Zn rings and the entropy function. This new index was applied as a new stopping criterion to the Mean Shift Iterative Algorithm with the goal to reach a better segmentation. An analysis on the performance of the algorithm with this new stopping criterion is carried out. The obtained results proved that the new index is a suitable tool to compare images.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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